Okay.
Equations of the form \((x - h)^2 + (y - k )^2 = r^2\) are considered circles. The center of the circle is (h, k), and the radius is r.
So, you can usually make comparisons between the 'standard form'and the given equation to figure out your center + radius, and graph from that. :)

Hmm... well, the circle simply has a radius of three, so basically all the points that are a distance of 3 from (0, -3) are points on your graph.
It makes sense if you consider r the distance between the center and all the points on the circle that are 3 units away. :)

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So, we can pick out a few simple ones that line up on the axes, and then we have to estimate from there. My graph isn't drawn particularly well, so it doesn't look very nice, but you should be able to get a circle. :P

Yes, those are a few points on the graph of the circle. If you start from your center, it is easiest to move horizontally or vertically by the same distance as the radius to find four points to draw the rest of the graph from.

The process of graphing the circle basically goes like this:
1) Find your center-point and radius
2) Plot the center-point on your graph
3) Plot those four points at a distance of one radius away and draw in the circle from there as best you can.
Usually teachers will be forgiving as long as you have those four points marked and your circle looks somewhere close. :P